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A loan is repaid with monthly payments that start at $320 at the end of the first month and increase by $5 each month until

A loan is repaid with monthly payments that start at $320 at the end of the first month and increase by $5 each month until a payment of $950 is made, after which they cease. If the annual effective interest rate is 4%, find the amount of principal in the sixtieth payment. Please show work. The answer given is $460.31 and I am not getting anything even close to that.

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